Given parameters:
Distance traveled = 1778miles
Average speed = 61.7 miles per hour
Unknown:
Time taken for the travel = ?
Speed is a physical quantity. It is the rate of change of distance with time.
It can be mathematically expressed as;
Speed = [tex]\frac{distance}{time taken}[/tex]
The unknown here is the time taken;
Substitute the parameters and solve for it;
61.7 = [tex]\frac{1778}{ time taken}[/tex]
time taken = [tex]\frac{1778}{61.7}[/tex] = 28.8hrs
The time taken is 28.8hrs
Answer:
the answer for this would be 30 hours.
Step-by-step explanation:
Nicole invested $400 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $72. As a
percentage, what was the annual interest rate of her investment?
Answer:
83.3333%
Step-by-step explanation:
The accrued amount of an investment is the original principal P plus the accumulated simple interest, I = Prt, therefore we have:
A = P + I = P + (Prt), and finally A = P(1 + rt)
What is the best way to answer each of the questions below: an experiment, a sample survey, or an observational study that is not a sample survey? Explain your choices.
(a) Are people generally satisfied with how things are going in the country right now?
A sample survey; we want to gather information about a population based on a sample.
An experiment; we want to establish a cause-and-effect relationship.
An observational study; there is no particular population from which we will sample, we simply observe.
(b) Do college students learn basic accounting better in a classroom or using an online course?
A sample survey; we want to gather information about a population based on a sample
An observational study; there is no particular population from which we will sample, we simply observe.
An experiment; we want to establish a cause-and-effect relationship
(c) How long do your teachers wait on the average after they ask their class a question?
An experiment; we want to establish a cause-and-effect relationship
An observational study; there is no particular population from which we will sample, we simply observe.
A sample survey; we want to gather information about a population based on a sample
Answer:
a
A sample survey; we want to gather information about a population based on a sample.
b
An experiment; we want to establish a cause-and-effect relationship
c
An observational study; there is no particular population from which we will sample, we simply observe.
Step-by-step explanation:
Considering the first question
Are people generally satisfied with how things are going in the country right now?
Here the aim is to gather the opinion of the entire population and since it is impossible to ask each and everyone that make up the population then the best option is to taken a sample of the population and then draw conclusion from their opinion
So the correct option to question a is
A sample survey; we want to gather information about a population based on a sample
Considering the second question
Do college students learn basic accounting better in a classroom or using an online course?
Here in other to get the best answer to the question there is need to carry out a statistical experiment using a group of college student where by a particular group of college student is exposed to learning a particular topic through class room and another group of college student is exposed to learning the same subject through online and then the same test is given to both group of student to determine the outcome of the experiment.
So the solution to the question b is
An experiment; we want to establish a cause-and-effect relationship
Considering the third question
How long do your teachers wait on the average after they ask their class a question?
For the above question we see that in order to get the correct solution to this problem there is a need to observe the teachers during question and answer section of their teaching so the correct answer to this question is
An observational study; there is no particular population from which we will sample, we simply observe.
For the figure shown on the right find M 1
Using the sum of the internal angles of a triangle and supplementary angles, it is found that the measure of angle 1 is of 121º.
What is the sum of the internal angles of a triangle?The sum of the three internal angles of a triangle is of 180º.
Hence, the measure of the remaining interior angle is given by:
60º + 61º + x = 180º
x = 59º.
What are supplementary angles?
Two angles are supplementary if the sum of their measures is of 180º.
An interior angle is supplementary with it's respective exterior angle, hence:
m<1 + 59º = 180º
m<1 = 121º.
The measure of angle 1 is of 121º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
help please (see below)
Answer:
The quotient is 10x + 16
The remainder is [tex]28x^2 + 10x +22[/tex]
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
65mph
Step-by-step explanation:
Add 100 and 30 together then divide by 2. You get 65 miles per hour.
place value of 30,542
Answer: ten-thousand
Not completely sure if this is what you're asking for... If not, explain better pls!
What is the answer to 6.59+(-7.8)-(2.41)=
Every day the Washington pet store uses 3/4 of a bag of dog food to feed the dogs his many days will 1 1/2 bags of dog food last
Answer:
2 days
Step-by-step explanation:
Gary’s family has 20 slices of pizza for dinner. His sister took 1/10 of the slices, his brother ate 25% of the slices, and his parents ate 2/5 of the pieces. How many pieces were left for Gary to eat
15 points PLEASE HELP
Kirk earns $27.50 an hour and he worked 80 hours this pay period. His deductions are $396 for taxes. $264 for insurance, and $175 for retirement What is
his net pay for this pay period?
Answer:
27.50(80) is 2,200
2,200-396-175-264= 1,365
I think this is how u do it correct me if I'm wrong
What is the difference between 7.20 dollars and 2.70 dollars In unit prices
Answer:
7.2-2.7=x Doo the math buddy
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
Place each expression in the column of what operation you would perform first.
70 POINTS!! PLEASE HELP!! ASAP! PLEASE SOMEONE HELP ME ASAP
Answer:
Multiplication: Division: Addition: Subtraction:
100 * 2/5 100/2 *5 89 + 43 - 10 4 - 5 + 7
5 + 3 - 8 * 10 14 - 4/8 (4 + 3)/ 2 (idk about this one)
6 * 3 - 8 15 + 8 / 4 - 6
2/3 + 4 * 2
Hope this helps!
Answer:
100*2/5, 6*3-8, 2/3+4*2, 5+3-8*10 goes to multiplication first. 100/2*5, 14-4/8, 15+8/4-6 goes to division first. (4+3)/2, 89+43-10 goes to addition first. 4-5+7 goes to subtraction first.
Step-by-step explanation:
Follow the order of the operations (Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.) Addition and subraction, multiplication and division gets determined by reading from left to right. Whichever comes first will be first calculated.
15+8/4= 8/4 is first. Division.
14-4/8= 4/8 is first. Division.
2/3+4*2= 4*2 is first. Multiplication.
100*2/5= Multiplication is first.
100/2*5=100/2. Division.
6*3-8=6*3. Multiplication.
(4+3)/2=(4+3). Addition.
89+43-10= 89+43. Addition.
4-5+7=4-5. Subtraction.
5+3-8*10= 8*10. Multiplication.
A scuba diver dives until he is 45 ft below sea level. His friend is at -12 ft. How many feet are they away from each other?
Answer:
33
Step-by-step explanation:
45 - (-12) = 33
His friend is 33ft away from him.
y=5/3x -15 in general form
Answer: 5x - 3y = 45
Step-by-step explanation:
Hope this helps
5,395
- 2,697
How do you solve?
Answer:
2698
Step-by-step explanation:First you take 1000 from 5000 and then distribute it to 395
Answer:
you would subtract 2697 from 5395. you have it in the correct format. the answer would be 2,698.
Step-by-step explanation:
Kathy's car runs almost 21 miles on a gallon of gas. If Kathy needs to travel 250
miles, at least how much gas does she need to reach her destination? Express your
answer to the nearest whole gallon.
Оа
Ob
Oc
Od
at least 8 gallons.
at least 10 gallons.
at least 12 gallons.
at least 14 gallons
Answer:
at least 8 gallons
Step-by-step explanation:
What is the slope of the line that passes through:
(6,5) and (-1,-4)
Thank You!
Answer:
[tex]m=\frac{9}{7}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{-4-5}{-1-6}[/tex]
[tex]m=\frac{-9}{-7}[/tex]
[tex]m=\frac{9}{7}[/tex]
Which of the following statements is true?
The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.
Answer:
The number -5 is a real number is true.
Answer:
what number is the second sentence
What would be the answer to number nine
Answer:
x=9.06
Step-by-step explanation:
We have the hypotenuse and we want the opposite of angle a.
so we do
sin65 = x/10.
Solve for x by simplifying both sides of the equation, then isolating the variable.
Which one is greater 8 or -12
Answer:
8
Step-by-step explanation:
-12 is below 0 and 8 is above
Answer:
8 is greater
Step-by-step explanation:
the negative sign= - is meaning below so
12 below is -12 which is less so 8 is greater
Complete the multiplication problem to find the answer.
26.1
X3.4
1044
7830
A. 88.74
B. 8874
C. 887.4
D. 87.84
Plzz help
Answer: 88.74
Step-by-step explanation:
Answer:
Answer is 887.4
Step-by-step explanation:
Please help and please pick between a b c or d
What came first into your mind when you read the word “union"? How did you
get the union between the two given sets?
Answer:
well when you hear "union" you think 'joined' or 'together' since thats what it means, In a mathmatical set of numbers, union means that both of the sets are necessary for the equation to be true. I'm not sure what the sets are in this problem but in order to get "union" from anything, that means that when you checked for your domains, the values that you got had to be part of both the given sets
The sum of the square of a positive number and the square of 3 or more than the numbers is 17. What is the number
Answer:
1
Step-by-step explanation:
Let x represent the number. The given relation is ...
x² +(x+3)² = 17
2x² +6x +9 = 17 . . . . simplify
x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2
(x +4)(x -1) = 0 . . . . . factor
The solutions make these factors zero: -4 and +1. The positive solution is 1.
The number is 1.
There are 11 apples in a basket. 5 of these apples are green.the rest of them are red. What are the ratio of all apples to red apples? What is the ratio of green apples to red apples?
Answer:
11/6 or 1 5/6
Step-by-step explanation:
11 = 5 = 6
11/6
simplified it is
1 5/6
Six less than four times a number is 24
written out in numbers
Answer:
4x - 6 = 24
+ 6. +6
4x=30
x=7.5
35% of what is 28?............
35% of 80 is 28.
Answer is 80.
Is it geometric or arithmetic? Why
Answer: It is Geometric.
Step-by-step explanation: Because it does not have a fixed pattern that adds or subtract which arithmetic does.
What is the value of x that makes the equation true?
2x+21 =-3 (2x-3)+2x
Answer:
-2
Step-by-step explanation:
x = -2
Answer:
Step-by-step explanation:
2x+21 =-3 (2x-3)+2x
distributive property
2x+21=-6x+9+2x
combine variables
2x+21=-4x+9
simplify
-2x=12
simplify
x=-6
How do I solve this?
Answer:
<B = <ABC = 107°
Step-by-step explanation:
<CAB = 32° (property of isosceles triangle)
<ACB = 41° (property of isosceles triangle)
<ABC = ?
<ABC + <ACB + < CAB = 180° (sum of angles of triangle)
<ABC + 41° + 32° = 180°
<ABC + 73° = 180°
<ABC = 180° - 73°
<ABC = 107°